Skip to main content

Freight Vehicle Travel Time Prediction Using Sparse Gaussian Processes Regression with Trajectory Data

  • Conference paper
  • First Online:
Intelligent Data Engineering and Automated Learning – IDEAL 2016 (IDEAL 2016)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 9937))

Abstract

Travel time prediction is important for freight transportation companies. Accurate travel time prediction can help these companies make better planning and task scheduling. For several reasons, most companies are not able to obtain traffic flow data from traffic management authorities, but a large amount of trajectory data were collected everyday which has not been fully utilised. In this study, we aim to fill this gap and performed travel time prediction for freight vehicles at individual level using sparse Gaussian processes regression (SGPR) models with trajectory data. The results show that the prediction performance can be gradually improved by adding more mean speed estimates of traveled distance from the first 5 min as the real-time information. The overall performances of SGPR models are very similar to full GP, supported vector regression (SVR) and artificial neural network (ANN) models. The computational complexity of SGPR models is \(O(mn^2)\), and it does not require lengthy model fitting process as SVR and ANN. This makes GP models more practicable for real-world practice in large-scale transportation data analyses.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Arthur, D., Vassilvitskii, S.: k-means++: the advantages of careful seeding. In: Symposium on Discrete Algorithms (2007)

    Google Scholar 

  2. Chen, M., Chien, S.: Dynamic freeway travel-time prediction with probe vehicle data: link based versus path based. Transp. Res. Rec. J. Transp. Res. Board 1768, 157–161 (2001)

    Article  Google Scholar 

  3. Gal, Y., Der Wilk, M.V., Rasmussen, C.E.: Distributed variational inference in Sparse Gaussian Process Regression and latent variable models. Adv. Neural Inf. Process. Syst. 27, 3257–3265 (2014)

    Google Scholar 

  4. The GPy authors: GPy: a Gaussian process framework in python (2012). http://github.com/SheffieldML/GPy

  5. Haworth, J., Shawetaylor, J., Cheng, T., Wang, J.: Local online kernel ridge regression for forecasting of urban travel times. Transp. Res. Part C Emerg. Technol. 46, 151–178 (2014)

    Article  Google Scholar 

  6. Ide, T., Kato, S.: Travel-time prediction using Gaussian process regression: a trajectory-based approach. In: Proceedings of SIAM International Conference on Data Mining (2009)

    Google Scholar 

  7. Kwon, J., Coifman, B., Bickel, P.J.: Day-to-day travel-time trends and travel-time prediction from loop-detector data. Transp. Res. Rec. J. Transp. Res. Board 1717, 120–129 (2000)

    Article  Google Scholar 

  8. Nanthawichit, C., Nakatsuji, T., Suzuki, H.: Application of probe-vehicle data for real-time traffic-state estimation and short-term travel-time prediction on a freeway. Transp. Res. Rec. J. Transp. Res. Board 1855, 49–59 (2003)

    Article  Google Scholar 

  9. Quinonerocandela, J., Rasmussen, C.E.: A unifying view of sparse approximate Gaussian process regression. J. Mach. Learn. Res. 6, 1939–1959 (2009)

    MathSciNet  Google Scholar 

  10. Rasmussen, C.E., Williams, C.K.: Gaussian Processes for Machine Learning (Adaptive Computation and Machine Learning). The MIT Press, Massachusetts (2005)

    Google Scholar 

  11. Smith, B.L., Williams, B.M., Oswald, R.K.: Comparison of parametric and nonparametric models for traffic flow forecasting. Transp. Res. Part C Emerg. Technol. 10(4), 303–321 (2002)

    Article  Google Scholar 

  12. Snelson, E., Ghahramani, Z.: Sparse Gaussian processes using pseudo-inputs. Adv. Neural Inf. Process. Syst. 18, 1257–1264 (2006)

    Google Scholar 

  13. Titsias, M.K.: Variational learning of inducing variables in sparse Gaussian processes. In: JMLR Workshop and Conference Proceedings, AISTATS, vol. 5, pp. 567–574 (2009)

    Google Scholar 

  14. Van Hinsbergen, C.P., Van Lint, J.W., Van Zuylen, H.J.: Bayesian committee of neural networks to predict travel times with confidence intervals. Transp. Res. Part C Emerg. Technol. 17(5), 498–509 (2009)

    Article  Google Scholar 

  15. Van Lint, J.W., Hoogendoorn, S.P., Van Zuylen, H.J.: Accurate freeway travel time prediction with state-space neural networks under missing data. Transp. Res. Part C Emerg. Technol. 13(5–6), 347–369 (2005)

    Article  Google Scholar 

  16. Williams, B.M., Hoel, L.A.: Modeling and forecasting vehicular traffic flow as a seasonal ARIMA process: theoretical basis and empirical results. J. Transp. Eng. 129(6), 664–672 (2003)

    Article  Google Scholar 

  17. Wu, C., Ho, J., Lee, D.T.: Travel-time prediction with support vector regression. IEEE Trans. Intell. Transp. Syst. 5(4), 276–281 (2004)

    Article  Google Scholar 

  18. Fei, X., Chung-Cheng, L., Liu, K.: A Bayesian dynamic linear model approach for real-time short-term freeway travel time prediction. Transp. Re. Part C Emerg. Technol. 19(6), 1306–1318 (2011)

    Article  Google Scholar 

  19. Zhang, X., Rice, J.A.: Short-term travel time prediction. Transp. Res. Part C Emerg. Technol. 11(3–4), 187–210 (2003)

    Article  Google Scholar 

  20. Xie, Y., Zhao, K., Sun, Y., Chen, D.: Gaussian Processes for short-term traffic volume forecasting. Transp. Res. Rec. J. Transp. Res. Board 2165, 69–78 (2010)

    Article  Google Scholar 

  21. Zhang, Y., Zhang, Y., Haghani, A.: A hybrid short-term traffic flow forecasting method based on spectral analysis and statistical volatility model. Transp. Res. Part C Emerg. Technol. 43(Part 1), 65–78 (2014)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xia Li .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing AG

About this paper

Cite this paper

Li, X., Bai, R. (2016). Freight Vehicle Travel Time Prediction Using Sparse Gaussian Processes Regression with Trajectory Data. In: Yin, H., et al. Intelligent Data Engineering and Automated Learning – IDEAL 2016. IDEAL 2016. Lecture Notes in Computer Science(), vol 9937. Springer, Cham. https://doi.org/10.1007/978-3-319-46257-8_16

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-46257-8_16

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46256-1

  • Online ISBN: 978-3-319-46257-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics